GCD of 486, 260, 310, 299 Calculator

Given Input numbers are 486, 260, 310, 299

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 486, 260, 310, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 260, 310, 299 is 1.

Therefore, GCD of numbers 486, 260, 310, 299 is 1

Given Input Data is 486, 260, 310, 299

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 299 is 13 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(486, 260) = 63180

GCD(486, 260) = ( 486 x 260 ) / 63180

GCD(486, 260) = 126360 / 63180

GCD(486, 260) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 486, 260, 310, 299 is 1

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1. What is the GCD of 486, 260, 310, 299?

GCD of 486, 260, 310, 299 is 1

2. Where do I get the detailed procedure to find GCD of 486, 260, 310, 299?

You can find a detailed procedure to find GCD of 486, 260, 310, 299 on our page.

3. How to find GCD of 486, 260, 310, 299 on a calculator?

You can find the GCD of 486, 260, 310, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.